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Finding the Fourth Proportional to 13,303.68, 18,360.74 and 7,640.20

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Solution

The fourth proportional to 13,303.68, 18,360.74 and 7,640.20 is: 10,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.68 : 18,360.74 = 7,640.20 : x
  2. Step 2: Convert to fraction form
    13,303.68/18,360.74 = 7,640.20/x
  3. Step 3: Cross multiply
    13,303.68x = 18,360.74 × 7,640.20
  4. Step 4: Simplify right side
    13,303.68x = 140,279,725.75
  5. Step 5: Solve for x
    x = 140,279,725.75/13,303.68
  6. Step 6: Final answer
    x = 10,544.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.